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Finding the Third Proportional to 10,582.31 and 24,288.19

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Solution

The third proportional to 10,582.31 and 24,288.19 is: 55,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.31 : 24,288.19 = 24,288.19 : x
  2. Step 2: Convert to fraction form
    10,582.31/24,288.19 = 24,288.19/x
  3. Step 3: Cross multiply
    10,582.31x = 24,288.19 × 24,288.19
  4. Step 4: Simplify right side
    10,582.31x = 589,916,052.04
  5. Step 5: Solve for x
    x = 589,916,052.04/10,582.31
  6. Step 6: Final answer
    x = 55,745.48

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.